Mathematical modeling, coding or labeling Chains with the help of numeric numbers based on the parameter of distance plays a vital role in the studies of the structural properties of the networks such as accessibility, centrality, clustering, complexity, connectivity, modularity, robustness and vulnerability.In particular, various distance based di
Economic dispatch (ED) in power system is one of important optimization problems for determining and providing an economic condition for generation units.The Spirulina nonlinearity of this problem makes conventional methods unable to determine a fast and robust solution, especially when the power system contains the highest number of generation uni
Many metal parts in various applications are being replaced by plastic parts.There are several reasons for that depending on actual application - minimize part cost, enhance corrosion resistance, integrating more components into one part etc.Most important steps of metal to plastic conversion are material selection and design of plastic part.Plasti
Abstract In Phys.Rev.Lett.116 (2016) 062001, the space of planar pentagon functions that describes all two-loop on-shell five-particle scattering amplitudes was introduced.In the present paper we present a Short Boot Socks natural extension of this space to non-planar pentagon functions.This provides the basis for our pentagon bootstrap program.We